# News & Events

## Seminar

Date/Time:
Monday, August 6, 2018 - 11:35 to 12:35
Venue:
SMS Seminar Hall
Speaker:
Rahul Kumar Singh
Affiliation:
NISER
Title:
Counting of rational planar curves in $\mathbb{P}^3$
Abstract: One of the classical problems in enumerative geometry is to count the number of degree $d$ rational curves, $N_d$, in $\mathbb{P}^2$, passing through $3d-1$ points. In this talk, we will explain how to obtain a formula for $N_d$. We will discuss a proof due to Kontsevich-Manin. Finally, we will talk about our recent study of the following problem: What is the number of rational degree $d$ curves in $\mathbb{P}^3$ lying in some plane $\mathbb{P}^2$, which satisfy some appropriate conditions. This can be viewed as a family version of the classical problem mentioned above. This is a joint work with Ritwik Mukherjee and Anantadulal Paul.